<?xml version="1.0" encoding="UTF-8"?>
<GenerateModel xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="generateMetaModel_Module.xsd">
  <PythonExport
      Father="TopoShapePy"
      Name="TopoShapeEdgePy"
      Twin="TopoShape"
      TwinPointer="TopoShape"
      Include="Mod/Part/App/TopoShape.h"
      Namespace="Part"
      FatherInclude="Mod/Part/App/TopoShapePy.h"
      FatherNamespace="Part"
      Constructor="true">
    <Documentation>
      <Author Licence="LGPL" Name="Juergen Riegel" EMail="Juergen.Riegel@web.de" />
      <UserDocu>TopoShapeEdge is the OpenCasCade topological edge wrapper</UserDocu>
    </Documentation>
    <Methode Name="getParameterByLength" Const="true">
      <Documentation>
        <UserDocu>Get the value of the primary parameter at the given distance along the cartesian length of the edge.
getParameterByLength(pos, [tolerance = 1e-7]) -> Float
--
Args:
    pos (float or int): The distance along the length of the edge at which to
        determine the primary parameter value. See help for the FirstParameter or
        LastParameter properties for more information on the primary parameter.
        If the given value is positive, the distance from edge start is used.
        If the given value is negative, the distance from edge end is used.
    tol (float): Computing tolerance. Optional, defaults to 1e-7.

Returns:
    paramval (float): the value of the primary parameter defining the edge at the
        given position along its cartesian length.
        </UserDocu>
      </Documentation>
    </Methode>
    <Methode Name="tangentAt" Const="true">
      <Documentation>
        <UserDocu>Get the tangent direction at the given primary parameter value along the Edge if it is defined
tangentAt(paramval) -> Vector
--
Args:
    paramval (float or int): The parameter value along the Edge at which to
        determine the tangent direction e.g:

        x = Part.makeCircle(1, FreeCAD.Vector(0,0,0), FreeCAD.Vector(0,0,1), 0, 90)
        y = x.tangentAt(x.FirstParameter + 0.5 * (x.LastParameter - x.FirstParameter))

        y is the Vector (-0.7071067811865475, 0.7071067811865476, 0.0)

        Values with magnitude greater than the Edge length return
        values of the tangent on the curve extrapolated beyond its
        length. This may not be valid for all Edges. Negative values
        similarly return a tangent on the curve extrapolated backwards
        (before the start point of the Edge). For example, using the
        same shape as above:

        >>> x.tangentAt(x.FirstParameter + 3.5*(x.LastParameter - x.FirstParameter))
        Vector (0.7071067811865477, 0.7071067811865474, 0.0)

        Which gives the same result as

        >>> x.tangentAt(x.FirstParameter -0.5*(x.LastParameter - x.FirstParameter))
        Vector (0.7071067811865475, 0.7071067811865476, 0.0)

        Since it is a circle

Returns:
    Vector: representing the tangent to the Edge at the given
       location along its length (or extrapolated length)
        </UserDocu>
      </Documentation>
    </Methode>
    <Methode Name="valueAt" Const="true">
      <Documentation>
        <UserDocu>Get the value of the cartesian parameter value at the given parameter value along the Edge
valueAt(paramval) -> Vector
--
Args:
    paramval (float or int): The parameter value along the Edge at which to
        determine the value in terms of the main parameter defining
        the edge, what the parameter value is depends on the type of
        edge. See  e.g:

        For a circle value

        x = Part.makeCircle(1, FreeCAD.Vector(0,0,0), FreeCAD.Vector(0,0,1), 0, 90)
        y = x.valueAt(x.FirstParameter + 0.5 * (x.LastParameter - x.FirstParameter))

        y is theVector (0.7071067811865476, 0.7071067811865475, 0.0)

        Values with magnitude greater than the Edge length return
        values on the curve extrapolated beyond its length. This may
        not be valid for all Edges. Negative values similarly return
        a parameter value on the curve extrapolated backwards (before the
        start point of the Edge). For example, using the same shape
        as above:

        >>> x.valueAt(x.FirstParameter + 3.5*(x.LastParameter - x.FirstParameter))
        Vector (0.7071067811865474, -0.7071067811865477, 0.0)

        Which gives the same result as

        >>> x.valueAt(x.FirstParameter -0.5*(x.LastParameter - x.FirstParameter))
        Vector (0.7071067811865476, -0.7071067811865475, 0.0)

        Since it is a circle

Returns:
    Vector: representing the cartesian location on the Edge at the given
       distance along its length (or extrapolated length)
          </UserDocu>
        </Documentation>
      </Methode>
      <Methode Name="parameters" Const="true">
        <Documentation>
          <UserDocu>Get the list of parameters of the tessellation of an edge.
parameters([face]) -> list
--
If the edge is part of a face then this face is required as argument.
An exception is raised if the edge has no polygon.
          </UserDocu>
        </Documentation>
      </Methode>
      <Methode Name="parameterAt" Const="true">
          <Documentation>
            <UserDocu>Get the parameter at the given vertex if lying on the edge
parameterAt(Vertex) -> Float
            </UserDocu>
          </Documentation>
      </Methode>
      <Methode Name="normalAt" Const="true">
        <Documentation>
          <UserDocu>Get the normal direction at the given parameter value along the Edge if it is defined
normalAt(paramval) -> Vector
--
Args:
    paramval (float or int): The parameter value along the Edge at which to
        determine the normal direction e.g:

        x = Part.makeCircle(1, FreeCAD.Vector(0,0,0), FreeCAD.Vector(0,0,1), 0, 90)
        y = x.normalAt(x.FirstParameter + 0.5 * (x.LastParameter - x.FirstParameter))

        y is the Vector (-0.7071067811865476, -0.7071067811865475, 0.0)

        Values with magnitude greater than the Edge length return
        values of the normal on the curve extrapolated beyond its
        length. This may not be valid for all Edges. Negative values
        similarly return a normal on the curve extrapolated backwards
        (before the start point of the Edge). For example, using the
        same shape as above:

        >>> x.normalAt(x.FirstParameter + 3.5*(x.LastParameter - x.FirstParameter))
        Vector (-0.7071067811865474, 0.7071067811865477, 0.0)

        Which gives the same result as

        >>> x.normalAt(x.FirstParameter -0.5*(x.LastParameter - x.FirstParameter))
        Vector (-0.7071067811865476, 0.7071067811865475, 0.0)

        Since it is a circle

Returns:
    Vector: representing the normal to the Edge at the given
       location along its length (or extrapolated length)
          </UserDocu>
        </Documentation>
      </Methode>
      <Methode Name="derivative1At" Const="true">
        <Documentation>
          <UserDocu>Get the first derivative at the given parameter value along the Edge if it is defined
derivative1At(paramval) -> Vector
--
Args:
    paramval (float or int): The parameter value along the Edge at which to
        determine the first derivative e.g:

        x = Part.makeCircle(1, FreeCAD.Vector(0,0,0), FreeCAD.Vector(0,0,1), 0, 90)
        y = x.derivative1At(x.FirstParameter + 0.5 * (x.LastParameter - x.FirstParameter))

        y is the Vector (-0.7071067811865475, 0.7071067811865476, 0.0)

        Values with magnitude greater than the Edge length return
        values of the first derivative on the curve extrapolated
        beyond its length. This may not be valid for all Edges.
        Negative values similarly return a first derivative on the
        curve extrapolated backwards (before the start point of the
        Edge). For example, using the same shape as above:

        >>> x.derivative1At(x.FirstParameter + 3.5*(x.LastParameter - x.FirstParameter))
        Vector (0.7071067811865477, 0.7071067811865474, 0.0)

        Which gives the same result as

        >>> x.derivative1At(x.FirstParameter -0.5*(x.LastParameter - x.FirstParameter))
        Vector (0.7071067811865475, 0.7071067811865476, 0.0)

        Since it is a circle

Returns:
    Vector: representing the first derivative to the Edge at the
       given location along its length (or extrapolated length)
          </UserDocu>
        </Documentation>
      </Methode>
      <Methode Name="derivative2At" Const="true">
        <Documentation>
          <UserDocu>Get the second derivative at the given parameter value along the Edge if it is defined
derivative2At(paramval) -> Vector
--
Args:
    paramval (float or int): The parameter value along the Edge at which to
        determine the second derivative e.g:

        x = Part.makeCircle(1, FreeCAD.Vector(0,0,0), FreeCAD.Vector(0,0,1), 0, 90)
        y = x.derivative2At(x.FirstParameter + 0.5 * (x.LastParameter - x.FirstParameter))

        y is the Vector (-0.7071067811865476, -0.7071067811865475, 0.0)

        Values with magnitude greater than the Edge length return
        values of the second derivative on the curve extrapolated
        beyond its length. This may not be valid for all Edges.
        Negative values similarly return a second derivative on the
        curve extrapolated backwards (before the start point of the
        Edge). For example, using the same shape as above:

        >>> x.derivative2At(x.FirstParameter + 3.5*(x.LastParameter - x.FirstParameter))
        Vector (-0.7071067811865474, 0.7071067811865477, 0.0)

        Which gives the same result as

        >>> x.derivative2At(x.FirstParameter -0.5*(x.LastParameter - x.FirstParameter))
        Vector (-0.7071067811865476, 0.7071067811865475, 0.0)

        Since it is a circle

Returns:
    Vector: representing the second derivative to the Edge at the
       given location along its length (or extrapolated length)
          </UserDocu>
        </Documentation>
      </Methode>
      <Methode Name="derivative3At" Const="true">
        <Documentation>
          <UserDocu>Get the third derivative at the given parameter value along the Edge if it is defined
derivative3At(paramval) -> Vector
--
Args:
    paramval (float or int): The parameter value along the Edge at which to
        determine the third derivative e.g:

        x = Part.makeCircle(1, FreeCAD.Vector(0,0,0), FreeCAD.Vector(0,0,1), 0, 90)
        y = x.derivative3At(x.FirstParameter + 0.5 * (x.LastParameter - x.FirstParameter))

        y is the Vector (0.7071067811865475, -0.7071067811865476, -0.0)

        Values with magnitude greater than the Edge length return
        values of the third derivative on the curve extrapolated
        beyond its length. This may not be valid for all Edges.
        Negative values similarly return a third derivative on the
        curve extrapolated backwards (before the start point of the
        Edge). For example, using the same shape as above:

        >>> x.derivative3At(x.FirstParameter + 3.5*(x.LastParameter - x.FirstParameter))
        Vector (-0.7071067811865477, -0.7071067811865474, 0.0)

        Which gives the same result as

        >>> x.derivative3At(x.FirstParameter -0.5*(x.LastParameter - x.FirstParameter))
        Vector (-0.7071067811865475, -0.7071067811865476, 0.0)

        Since it is a circle

Returns:
    Vector: representing the third derivative to the Edge at the
       given location along its length (or extrapolated length)
          </UserDocu>
        </Documentation>
      </Methode>
      <Methode Name="curvatureAt" Const="true">
        <Documentation>
          <UserDocu>Get the curvature at the given parameter [First|Last] if defined
curvatureAt(paramval) -> Float
          </UserDocu>
        </Documentation>
      </Methode>
      <Methode Name="centerOfCurvatureAt" Const="true">
        <Documentation>
          <UserDocu>Get the center of curvature at the given parameter [First|Last] if defined
centerOfCurvatureAt(paramval) -> Vector
          </UserDocu>
        </Documentation>
      </Methode>
      <Methode Name="firstVertex" Const="true">
        <Documentation>
          <UserDocu>Returns the Vertex of orientation FORWARD in this edge.
firstVertex([Orientation=False]) -> Vertex
--
If there is none a Null shape is returned.
Orientation = True : taking into account the edge orientation
          </UserDocu>
        </Documentation>
      </Methode>
      <Methode Name="lastVertex" Const="true">
        <Documentation>
          <UserDocu>Returns the Vertex of orientation REVERSED in this edge.
lastVertex([Orientation=False]) -> Vertex
--
If there is none a Null shape is returned.
Orientation = True : taking into account the edge orientation
          </UserDocu>
        </Documentation>
      </Methode>
      <Methode Name="discretize" Const="true" Keyword="true">
        <Documentation>
          <UserDocu>Discretizes the edge and returns a list of points.
discretize(kwargs) -> list
--
The function accepts keywords as argument:
discretize(Number=n) => gives a list of 'n' equidistant points
discretize(QuasiNumber=n) => gives a list of 'n' quasi equidistant points (is faster than the method above)
discretize(Distance=d) => gives a list of equidistant points with distance 'd'
discretize(Deflection=d) => gives a list of points with a maximum deflection 'd' to the edge
discretize(QuasiDeflection=d) => gives a list of points with a maximum deflection 'd' to the edge (faster)
discretize(Angular=a,Curvature=c,[Minimum=m]) => gives a list of points with an angular deflection of 'a'
                                    and a curvature deflection of 'c'. Optionally a minimum number of points
                                    can be set which by default is set to 2.

Optionally you can set the keywords 'First' and 'Last' to define a sub-range of the parameter range
of the edge.

If no keyword is given then it depends on whether the argument is an int or float.
If it's an int then the behaviour is as if using the keyword 'Number', if it's float
then the behaviour is as if using the keyword 'Distance'.

Example:

import Part
e=Part.makeCircle(5)
p=e.discretize(Number=50,First=3.14)
s=Part.Compound([Part.Vertex(i) for i in p])
Part.show(s)


p=e.discretize(Angular=0.09,Curvature=0.01,Last=3.14,Minimum=100)
s=Part.Compound([Part.Vertex(i) for i in p])
Part.show(s)
          </UserDocu>
        </Documentation>
      </Methode>
      <Methode Name="countNodes" Const="true">
      <Documentation>
        <UserDocu>Returns the number of nodes of the 3D polygon of the edge.</UserDocu>
      </Documentation>
      </Methode>
      <Methode Name="split" Const="true">
        <Documentation>
          <UserDocu>Splits the edge at the given parameter values and builds a wire out of it
split(paramval) -> Wire
--
Args:
    paramval (float or int): The parameter value along the Edge at which to
        split it e.g:

        x = Part.makeCircle(1, FreeCAD.Vector(0,0,0), FreeCAD.Vector(0,0,1), 0, 90)
        y = x.derivative3At(x.FirstParameter + 0.5 * (x.LastParameter - x.FirstParameter))

Returns:
    Wire: wire made up of two Edges
          </UserDocu>
        </Documentation>
      </Methode>
      <Methode Name="isSeam" Const="true">
        <Documentation>
          <UserDocu>Checks whether the edge is a seam edge.
isSeam(Face)
          </UserDocu>
        </Documentation>
      </Methode>
      <Methode Name="curveOnSurface" Const="true">
        <Documentation>
          <UserDocu>Returns the 2D curve, the surface, the placement and the parameter range of index idx.
curveOnSurface(idx) -> None or tuple
--
Returns None if index idx is out of range.
Returns a 5-items tuple of a curve, a surface, a placement, first parameter and last parameter.
          </UserDocu>
        </Documentation>
      </Methode>
      <Attribute Name="Tolerance">
        <Documentation>
          <UserDocu>Set or get the tolerance of the vertex</UserDocu>
        </Documentation>
        <Parameter Name="Tolerance" Type="Float"/>
      </Attribute>
      <Attribute Name="Length" ReadOnly="true">
        <Documentation>
          <UserDocu>Returns the cartesian length of the curve</UserDocu>
        </Documentation>
        <Parameter Name="Length" Type="Float"/>
      </Attribute>
      <Attribute Name="ParameterRange" ReadOnly="true">
        <Documentation>
          <UserDocu>
Returns a 2 tuple with the range of the primary parameter
defining the curve. This is the same as would be returned by
the FirstParameter and LastParameter properties, i.e.

(LastParameter,FirstParameter)

What the parameter is depends on what type of edge it is. For a
Line the parameter is simply its cartesian length. Some other
examples are shown below:

Type                 Parameter
---------------------------------------------------------------
Circle               Angle swept by circle (or arc) in radians
BezierCurve          Unitless number in the range 0.0 to 1.0
Helix                Angle swept by helical turns in radians
          </UserDocu>
        </Documentation>
        <Parameter Name="ParameterRange" Type="Tuple"/>
      </Attribute>
      <Attribute Name="FirstParameter" ReadOnly="true">
        <Documentation>
          <UserDocu>
Returns the start value of the range of the primary parameter
defining the curve.

What the parameter is depends on what type of edge it is. For a
Line the parameter is simply its cartesian length. Some other
examples are shown below:

Type                 Parameter
-----------------------------------------------------------
Circle               Angle swept by circle (or arc) in radians
BezierCurve          Unitless number in the range 0.0 to 1.0
Helix                Angle swept by helical turns in radians
          </UserDocu>
        </Documentation>
        <Parameter Name="FirstParameter" Type="Float"/>
      </Attribute>
      <Attribute Name="LastParameter" ReadOnly="true">
        <Documentation>
          <UserDocu>
Returns the end value of the range of the primary parameter
defining the curve.

What the parameter is depends on what type of edge it is. For a
Line the parameter is simply its cartesian length. Some other
examples are shown below:

Type                 Parameter
-----------------------------------------------------------
Circle               Angle swept by circle (or arc) in radians
BezierCurve          Unitless number in the range 0.0 to 1.0
Helix                Angle swept by helical turns in radians
          </UserDocu>
        </Documentation>
        <Parameter Name="LastParameter" Type="Float"/>
      </Attribute>
      <Attribute Name="Curve" ReadOnly="true">
        <Documentation>
          <UserDocu>Returns the 3D curve of the edge</UserDocu>
        </Documentation>
        <Parameter Name="Curve" Type="Object"/>
      </Attribute>
      <Attribute Name="Closed" ReadOnly="true">
        <Documentation>
          <UserDocu>Returns true if the edge is closed</UserDocu>
        </Documentation>
        <Parameter Name="Closed" Type="Boolean"/>
      </Attribute>
      <Attribute Name="Degenerated" ReadOnly="true">
        <Documentation>
          <UserDocu>Returns true if the edge is degenerated</UserDocu>
        </Documentation>
        <Parameter Name="Degenerated" Type="Boolean"/>
      </Attribute>
      <Attribute Name="Mass" ReadOnly="true">
        <Documentation>
          <UserDocu>Returns the mass of the current system.</UserDocu>
        </Documentation>
        <Parameter Name="Mass" Type="Object"/>
      </Attribute>
      <Attribute Name="CenterOfMass" ReadOnly="true">
        <Documentation>
          <UserDocu>Returns the center of mass of the current system.
If the gravitational field is uniform, it is the center of gravity.
The coordinates returned for the center of mass are expressed in the
absolute Cartesian coordinate system.</UserDocu>
        </Documentation>
        <Parameter Name="CenterOfMass" Type="Object"/>
      </Attribute>
      <Attribute Name="MatrixOfInertia" ReadOnly="true">
        <Documentation>
          <UserDocu>Returns the matrix of inertia. It is a symmetrical matrix.
The coefficients of the matrix are the quadratic moments of
inertia.

 | Ixx Ixy Ixz 0 |
 | Ixy Iyy Iyz 0 |
 | Ixz Iyz Izz 0 |
 | 0   0   0   1 |

The moments of inertia are denoted by Ixx, Iyy, Izz.
The products of inertia are denoted by Ixy, Ixz, Iyz.
The matrix of inertia is returned in the central coordinate
system (G, Gx, Gy, Gz) where G is the centre of mass of the
system and Gx, Gy, Gz the directions parallel to the X(1,0,0)
Y(0,1,0) Z(0,0,1) directions of the absolute cartesian
coordinate system.</UserDocu>
        </Documentation>
        <Parameter Name="MatrixOfInertia" Type="Object"/>
      </Attribute>
      <Attribute Name="StaticMoments" ReadOnly="true">
        <Documentation>
          <UserDocu>Returns Ix, Iy, Iz, the static moments of inertia of the
 current system; i.e. the moments of inertia about the
 three axes of the Cartesian coordinate system.</UserDocu>
        </Documentation>
        <Parameter Name="StaticMoments" Type="Object"/>
      </Attribute>
      <Attribute Name="PrincipalProperties" ReadOnly="true">
        <Documentation>
          <UserDocu>Computes the principal properties of inertia of the current system.
 There is always a set of axes for which the products
 of inertia of a geometric system are equal to 0; i.e. the
 matrix of inertia of the system is diagonal. These axes
 are the principal axes of inertia. Their origin is
 coincident with the center of mass of the system. The
 associated moments are called the principal moments of inertia.
 This function computes the eigen values and the
 eigen vectors of the matrix of inertia of the system.</UserDocu>
        </Documentation>
        <Parameter Name="PrincipalProperties" Type="Dict"/>
      </Attribute>
      <Attribute Name="Continuity" ReadOnly="true">
        <Documentation>
          <UserDocu>Returns the continuity</UserDocu>
        </Documentation>
        <Parameter Name="Continuity" Type="String"/>
      </Attribute>
      <ClassDeclarations>
      </ClassDeclarations>
    </PythonExport>
</GenerateModel>
